Vegetable contain a lot of sugar too, like the mention he ate a lot of carrots, he ate a lot of sugar, but that's naturally occurring sugar human body can process well, unlike tablespoon of sugar in a sausage made of processed meat.
The point you make is an important distinction. It's really effortless to put down 44oz of soda but very hard to eat the sugar equivalent of ~6lbs of carrots (even if you are juicing them 6lbs is a lot of carrot juice).
Related, it was recently discovered that there is a limit to how much sugar you can (comfortably) consume, unless you are a child. In children there is no limit.
“Sugar” is a broad category of chemical compounds, each of which is metabolized differently. Even if they all had the same caloric density (which they don’t), that would give you a woefully incomplete picture of their effect on your health.
Vegetables contains much less sugar then fruits. You can get enough calories if you eat fruits alone, but you can't get all calories you need from vegetables alone.
They said they were trying to avoid "added sugar," not sugar entirely. It's pretty impossible to avoid sugar entirely unless you eat an extremely limited diet.